On the limiting behavior of weighted partial sums forB valued martingale difference sequences

DOI10.1007/BF02830299zbMath1009.60001MaRDI QIDQ4789537

Shixin Gan, De Hua Qiu

Publication date: 15 January 2003

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersmartingale difference sequence\(p\)-smoothable Banach spaceweighted partial sum

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Convergence in the \(p\)th-mean and some weak laws of large numbers for weighted sums of random elements in separable normed linear spaces
• Strong laws of large numbers for arrays of row-wise independent random elements
• The Transfer of the Krull Dimension and the Gabriel Dimension to Subidealizers* : Erratum
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